Let now \(G=SL_n\)  and \(\)  be a line bundle of degree \(\ge 0\)  on \(¶^1\) .
By the BNR correspondence [1]}, we may realize the curve \(C\)  from Lemma REF , or rather its intersection with \(\text{Tot}((2))\)  as a spectral curve \(\lbrace \det (xI-\varphi )=0\rbrace \)  for the Hitchin fibration
\(\rightarrow \) 
